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A number n when divided by 16 given the reminder 5- the remainder when the same number is divided by 8

Posted by Aanchal Yadav 4 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 4 years, 3 months ago

Let N be a number such that,

N = 5( mod 16)

i.e.

N = 16x + 5

Where, x is any positive integer.

We can write,

N = 8(2x) + 5

if x = positive integer, 2x is also a positive integer.

Let 2x = y,

N = 8y + 5

Thus, N = 5(mod 8)

Hence, the remainder when the same number is divided by 8 would also be 5.

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